Keystones — Capstone
Five GCSE retrieval questions · 10 January 2013 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: √175
Answer: 5√7 -
2. Algebra Completing the square
Complete the square: x² + 3x - 6
Answer: (x + 3⁄2)² - 33⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 21cm, angle = 72°. Give your answer to 2 decimal places
Answer: 289.6cm² -
4. Ratio Combining two ratios
a:b is 4:3 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 28:21:15 -
5. Statistics Averages and range
Find the mean, median and range of: 44, 66, 51, 94, 63, 97, 55. Give your answer to 2 decimal places
Answer: Mean = 67.14, Median = 63, Range = 53